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Finding the Third Proportional to 74,908.41 and 160,934.06

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Solution

The third proportional to 74,908.41 and 160,934.06 is: 345,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,908.41 : 160,934.06 = 160,934.06 : x
  2. Step 2: Convert to fraction form
    74,908.41/160,934.06 = 160,934.06/x
  3. Step 3: Cross multiply
    74,908.41x = 160,934.06 × 160,934.06
  4. Step 4: Simplify right side
    74,908.41x = 25,899,772,472.75
  5. Step 5: Solve for x
    x = 25,899,772,472.75/74,908.41
  6. Step 6: Final answer
    x = 345,752.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.